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Example Question #241 : Cylindrical Coordinates
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Example Question #242 : Cylindrical Coordinates
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Example Question #243 : Cylindrical Coordinates
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Example Question #244 : Cylindrical Coordinates
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Example Question #245 : Cylindrical Coordinates
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Example Question #241 : Cylindrical Coordinates
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Example Question #1992 : Calculus 3
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Example Question #331 : 3 Dimensional Space
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Example Question #242 : Cylindrical Coordinates
Find a parametric representation of the circle .
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We can begin by rewriting the equation for a circle as
.
This directly tells us that . This allows us to write our final expression for the parametric representation as
Example Question #243 : Cylindrical Coordinates
Convert the following vector in Cartesian coordinates into cylindrical coordinates.
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The conversion from Cartesian to cylindrical coordinates is as follows:
The three components of the vector then become:
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